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2250137920 = 2657031681
BaseRepresentation
bin1000011000011110…
…0110000101000000
312210211000211221111
42012013212011000
514102013403140
61011140133104
7106521566602
oct20607460500
95724024844
102250137920
11a55164a18
12529697194
1329b237774
14174bad172
15d28227ea
hex861e6140

2250137920 has 28 divisors (see below), whose sum is σ = 5358141684. Its totient is φ = 900055040.

The previous prime is 2250137891. The next prime is 2250137951. The reversal of 2250137920 is 297310522.

It can be written as a sum of positive squares in 2 ways, for example, as 1493667904 + 756470016 = 38648^2 + 27504^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3515521 + ... + 3516160.

It is an arithmetic number, because the mean of its divisors is an integer number (191362203).

Almost surely, 22250137920 is an apocalyptic number.

2250137920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2250137920 is an abundant number, since it is smaller than the sum of its proper divisors (3108003764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2250137920 is an equidigital number, since it uses as much as digits as its factorization.

2250137920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7031698 (or 7031688 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 2250137920 is about 47435.6186846973. The cubic root of 2250137920 is about 1310.3974708280.

The spelling of 2250137920 in words is "two billion, two hundred fifty million, one hundred thirty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 7031681 14063362 28126724 35158405 56253448 70316810 112506896 140633620 225013792 281267240 450027584 562534480 1125068960 2250137920